Suppose n is a vector normal to the tangent plane of the surface F(x,y,z) =0 at a point. How is n related to the gradient of F at that point? Choose the correct answer below. O A. The gradient of F is equal to n. O B. The gradient of F is a multiple of n. OC. The gradient of F is orthogonal to n. O D. The gradient of F is not related to n.

Q: |a) Compute the equation of the tangent plane to the level surface g(z, y, 2) = r²y +2y°z – 3z*x = 3…

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Q: Let z = g(x, y) = f(3 cos(ry), y + e=") provided that f(3, 5) = 5, f1(3, 5) = 2, f2(3, 5) = 4. %3D…

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Q: Evaluate the line integral F. dr, where C is given by the vector function r(t). C F(x, y, z) = 6zi +…

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Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = X, (1, 2, 2) Xx…

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Q: Consider the function f(x, y) = 2xy + x2 + 5 Find the equation of the tangent plane to the surface…

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Q: Suppose that over a certain region of space the electrical potential V is given by the following…

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Q: 2. Find the unit tangent vector T(t), principal unit normal vector N(f), and curvature x, for the…

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Q: If the gradient of f is Vf = yj – z i+ 2xy k and the point P = (-3, 7, 8) lies on the level surface…

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Q: Suppose that over a certain region of space the electrical potential V is given by the following…

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Q: Suppose that over a certain region of space the electrical potential V is given by the following…

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Q: (b) Use the corresponding formula to evaluate the line integral F. ds where F(x, y, z) = (xz, -yz,…

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